Seminarium Teorii Względności i Grawitacji

In my talk I will present the results of my undergraduate thesis regarding the phenomenon of massive particle trapping by gravitational Bessel beams. In order to present a coherent story, I will introduce a local, Lorentz-covariant gravitational energy tensor, a quadratic function of the gravitational field, using a framework developed by Luke Butcher. It exhibits many desirable properties which shall be mentioned. I will also describe how various gravitational beams can be obtained (invoking the work of Iwo Białynicki-Birula and Zofia Białynicka-Birula), with a special interest in the Bessel beams (works of my thesis advisor Szymon Charzyński and Iwo Białynicki Birula).